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Finding the Third Proportional to 411,728 and 899,200

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Solution

The third proportional to 411,728 and 899,200 is: 1,963,822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,728 : 899,200 = 899,200 : x
  2. Step 2: Convert to fraction form
    411,728/899,200 = 899,200/x
  3. Step 3: Cross multiply
    411,728x = 899,200 × 899,200
  4. Step 4: Simplify right side
    411,728x = 808,560,640,000
  5. Step 5: Solve for x
    x = 808,560,640,000/411,728
  6. Step 6: Final answer
    x = 1,963,822.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.